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We present a scalable quantum computation scheme using ion crystals in Paul traps. Our method accounts for micromotion effects, enabling high-fidelity quantum gates for fault-tolerant computation.

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Area of Science:

  • Quantum Information Science
  • Atomic Physics
  • Quantum Computing

Background:

  • Scalable quantum computation is a major goal in quantum information science.
  • Paul traps are a leading platform for ion-based quantum computing.
  • Micromotion in ion traps can degrade quantum gate fidelity.

Purpose of the Study:

  • To propose a scheme for scalable quantum computation in a planar ion crystal.
  • To analyze the impact of in-plane micromotion on quantum gate design.
  • To demonstrate the feasibility of high-fidelity gates despite micromotion.

Main Methods:

  • Utilizing a planar ion crystal confined by a Paul trap.
  • Investigating three key effects of micromotion: position renormalization, transverse mode coupling, and addressing beam modulation.
  • Developing gate designs that incorporate these micromotion effects.

Main Results:

  • Identified and quantified the effects of in-plane micromotion on quantum gate operations.
  • Demonstrated that micromotion effects can be successfully managed.
  • Achieved theoretical high-fidelity gates in the presence of unavoidable micromotion.

Conclusions:

  • The proposed scheme enables scalable quantum computation in a single Paul trap.
  • High-fidelity quantum gates are achievable even with significant micromotion.
  • This work paves the way for large-scale fault-tolerant quantum computers using ion crystals.